A028043 Expansion of 1/((1-3x)(1-4x)(1-8x)(1-9x)).

1, 24, 373, 4788, 55321, 599088, 6215581, 62589516, 616742401, 5979165192, 57244372549, 542670685284, 5103872340841, 47693804106336, 443316920660077, 4102438007485692, 37822644890460241, 347609494930910520, 3186131255427986965, 29136348803275064340

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (24,-203,708,-864).

Formula

a(n)=(2*9^(n+3)-3*8^(n+3)+3*4^(n+3)-2*3^(n+3))/60. [Yahia Kahloune, Jun 07 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-8x)(1-9x)), {x, 0, 20}], x] (* Harvey P. Dale, Jan 25 2021 *)

Crossrefs

Sequence in context: A053062 A028060 A026326 * A028056 A025997 A028040

Adjacent sequences: A028040 A028041 A028042 * A028044 A028045 A028046

Keyword

nonn

Author

N. J. A. Sloane

Status

approved